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Usimov [2.4K]
3 years ago
14

Paul filled pint containers with 440 cups of water. How many pint containers did Paul need?

Mathematics
2 answers:
GenaCL600 [577]3 years ago
6 0
What size do you know it can be 5 gal. or 1 gal.
PtichkaEL [24]3 years ago
5 0
220 because one pint equals 2 cups

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A right rectangular prism has edges of 2 1/4 in, 1 1/2 in and 1 1/2 in. How many cubes with lengths of 1/4 in would be needed to
Zielflug [23.3K]

The volume of a rectangular prism is (length) x (width) x (height).

The volume of the big one is  (2.25) x (1.5) x (1.5) = <em>5.0625 cubic inches</em>.

The volume of the little one is  (0.25)x(0.25)x(0.25)= 0.015625 cubic inch

The number of little ones needed to fill the big one is

             (Volume of the big one)  divided by (volume of the little one) .

       5.0625 / 0.015625  =  <em>324 tiny cubies</em>

=================================================

Doing it with fractions instead of decimals:

The volume of a rectangular prism is (length) x (width) x (height).
Dimensions of the big one are:

   2-1/4  =  9/4
   1-1/2  =  3/2
   1-1/2  =  3/2

   Volume = (9/4) x (3/2) x (3/2) =
 
                 (9 x 3 x 3) / (4 x 2 x 2)  =

                           81 / 16  cubic inches.

          As a mixed number:    81/16  =  <em>5-1/16 cubic inches</em>

Volume of the tiny cubie = (1/4) x (1/4) x (1/4) =  1/64 cubic inch.   

The number of little ones needed to fill the big one is

             (Volume of the big one)  divided by (volume of the little one) .

                 (81/16) divided by (1/64)  = 

                     (81/16) times (64/1)  = 

                             5,184/16  =  <em>324 tiny cubies</em>.


5 0
3 years ago
Y+47x12.6 rewrite the equation below as a function of x
ella [17]
I'm confused is the x a × symbol or the letter x?
3 0
3 years ago
Claire is looking at the equation of a conic section where A=1, B=0, C=0. Which type of conic section is represented by the equa
Kitty [74]
The general equation of second degree is
                             Ax²+By²+Gx+Fy+C=0 ------1

Now the given conditions are 
A=1, B=0, C=0
Now,
putting in eq. 1
x²+Gx+Fy=0
x²+Gx= -Fy
For completing square, add both side (G/2)²
x²+Gx+(G/2)²=-Fy+(G/2)²
(x+G/2)²=-F(y-G²/4F)
Or
X²=-FY where X=x+G/2, Y=y-G²/4F
which is the standard eq. of parabola in XY-coordinate.
4 0
2 years ago
How much water should be added to 1 gallon of pure antifreeze to obtain a solution that is 40% antifreeze
nexus9112 [7]

Let the necessary amount of water be x.  Then (1.00)(1 gallon antifreeze) = 0.40(x+1 gallon), or 1 = .40x + .40.  Combining like terms:  0.60 = 0.40x.

Then x = 0.60 / 0.40 = 1.5.

Adding 1.5 gallons of water to that 1 gallon of pure antifreeze results in 2.5 gallons of 40% antifreeze.

6 0
3 years ago
A scientist studied the migration patterns of two types of sharks.The tiger shark traveled 2,240 miles in 28 days. The great whi
lawyer [7]
Tiger shark:
2240 miles in 28 days = 80 miles/day

GW shark:
2368 miles in 32 days = 74 miles/day

80 miles/day x 32 days = 2560 miles the Tiger shark would have traveled

2560-2368 = 192

If the tiger shark had traveled at the same rate for 32 days, the tiger shark would have traveled 192 miles more than the great white shark
4 0
3 years ago
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